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Simplifying 4.4q + -1.5 + -5.9q = 2.5q + -28 Reorder the terms: -1.5 + 4.4q + -5.9q = 2.5q + -28 Combine like terms: 4.4q + -5.9q = -1.5q -1.5 + -1.5q = 2.5q + -28 Reorder the terms: -1.5 + -1.5q = -28 + 2.5q Solving -1.5 + -1.5q = -28 + 2.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.5q' to each side of the equation. -1.5 + -1.5q + -2.5q = -28 + 2.5q + -2.5q Combine like terms: -1.5q + -2.5q = -4q -1.5 + -4q = -28 + 2.5q + -2.5q Combine like terms: 2.5q + -2.5q = 0.0 -1.5 + -4q = -28 + 0.0 -1.5 + -4q = -28 Add '1.5' to each side of the equation. -1.5 + 1.5 + -4q = -28 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -4q = -28 + 1.5 -4q = -28 + 1.5 Combine like terms: -28 + 1.5 = -26.5 -4q = -26.5 Divide each side by '-4'. q = 6.625 Simplifying q = 6.625
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